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Finding the Fourth Proportional to 15,437.64, 23,125.44 and 7,106.10

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Solution

The fourth proportional to 15,437.64, 23,125.44 and 7,106.10 is: 10,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,437.64 : 23,125.44 = 7,106.10 : x
  2. Step 2: Convert to fraction form
    15,437.64/23,125.44 = 7,106.10/x
  3. Step 3: Cross multiply
    15,437.64x = 23,125.44 × 7,106.10
  4. Step 4: Simplify right side
    15,437.64x = 164,331,689.18
  5. Step 5: Solve for x
    x = 164,331,689.18/15,437.64
  6. Step 6: Final answer
    x = 10,644.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.